Question

Question A certain $300 investment will double in value every seven years. If y represents the value, in dollars, of the investment after x seven-year time periods, then y=300(2%). Which ordered pair is a solution to the equation y=300(2x)? O (0,0) O (1, 300) O (2, 3600) O (3, 2400)

Answer 1

(0,0)

Step-by-step explanation:

To know which ordered pair is a solution to the equation, we need to replace the value x by the first coordinate and calculate the value of y. If the value of y is equal to the second coordinate, we can say that the ordered pair is a solution of the equation.

So, for (0, 0), we replace x by 0, and we get:

y = 300(2*0)

y = 300(0)

y = 0

Therefore, this ordered pair is a solution to the equation y = 300(2x)

For (1, 300), we replace x by 1, and we get:

y = 300(2*1)

y =300(2)

y = 600

Since 300 and 600 are distinct, this is not a solution to the equation

For (2, 3600), we get:

y = 300(2*2)

y = 300(4)

y = 1200

Since 1200 and 3600 are distinct, this is not a solution to the equation.

For (3, 2400), we get:

y = 300(2*3)

y = 300(6)

y = 1800

Since 1800 and 2400 are distinct, this is not a solution to the equation.

Then, the answer is the ordered pair (0, 0)